SSC CHSL 2021101)O is the centre of a circle of radius 9 cm. M is a point outside the circle and MN is a tangent to the circle. What is the length (in cm) of OM if the length MN is 12 cm?

Correct Option: A

15

SSC CHSL 2021102)ΔABC is drawn in a circle such that AC = BC and ∠BAC = 65°. From points B and C two tangents are drawn which intersect at point P. What is the measure of ∠BPC?

Correct Option: C

50°

SSC CHSL 2021103)Two circles with centres O and P and radii 17 cm and 10 cm, respectively, intersect each other at A and B. The length of the common chord AB is 16 cm. What is the perimeter of the triangle OAP (in cm)?

Correct Option: B

48

SSC CHSL 2021104)Two equal circles of radius 8 cm intersect each other such that each passes through the centre of the other. The length of the common chord is:

Correct Option: A

8√3 cm

SSC CPO 2020105)A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at points R, P and Q, respectively. If AQ = 3.5 cm, PC = 4.5 cm and BR = 7 cm, then the perimeter (in cm) of the triangle ΔABC is:

Correct Option: D

30

SSC CPO 2020106)PA and PB are two tangents from a point P outside the circle with centre O. If A and B are points on the circle such that ∠APB = 128°, then ∠OAB is equal to:

Correct Option: B

64°

SSC CPO 2020107)In a ΔABC, the bisectors of ∠B and ∠C meet at O. If ∠BOC = 142°, then the measure of ∠A is:

Correct Option: D

104°

SSC CPO 2020108)PA and PB are two tangents from a point P outside the circle with centre O. If A and B are points on the circle such that∠APB = 100°, then∠OAB is equal to:

Correct Option: C

50°

SSC CPO 2020109)PA and PB are two tangents from a point P outside the circle with center O at the point A and B on it. If ∠APB = 130°, then ∠OAB is equal to:

Correct Option: B

65°

SSC CPO 2020110)Chord AB of a circle is produced to a point P, and C is a point on the circle such that PC is a tangent to the circle. If PC = 12 cm, and BP = 10 cm, then the length of AB (in cm) is:

Correct Option: A

4.4

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